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Simplifying 19 + 6c + 3 = c + 3(19) + 30 Reorder the terms: 19 + 3 + 6c = c + 3(19) + 30 Combine like terms: 19 + 3 = 22 22 + 6c = c + 3(19) + 30 Multiply 3 * 19 22 + 6c = c + 57 + 30 Reorder the terms: 22 + 6c = 57 + 30 + c Combine like terms: 57 + 30 = 87 22 + 6c = 87 + c Solving 22 + 6c = 87 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 22 + 6c + -1c = 87 + c + -1c Combine like terms: 6c + -1c = 5c 22 + 5c = 87 + c + -1c Combine like terms: c + -1c = 0 22 + 5c = 87 + 0 22 + 5c = 87 Add '-22' to each side of the equation. 22 + -22 + 5c = 87 + -22 Combine like terms: 22 + -22 = 0 0 + 5c = 87 + -22 5c = 87 + -22 Combine like terms: 87 + -22 = 65 5c = 65 Divide each side by '5'. c = 13 Simplifying c = 13
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